Finding the extremum of function y = 2E ^ x + e ^ - x

Finding the extremum of function y = 2E ^ x + e ^ - x


It can be seen from the basic inequality that y = 2E ^ x + e ^ (- x) ≥ 2 √ 2. The equal sign is obtained only when 2E ^ x = e ^ (- x) = = = = > x = [- ㏑ 2] / 2. ㏑ Ymin = 2 √ 2



How to find the extremum of y = (x + 1) e ^ - x function?
Please give me the process,
y=(x+1)e^-x


Derivation,
Y '= - Xe ^ - x, another y' = 0, the unique stationary point x = 0,
If y (0) = 1, then the maximum value of Y is 1



There is a piece of paper with a length of 6.5cm and a width of 2cm, as shown in the figure. Please divide it into 6 pieces, and then put it together into a square. (requirement: draw the dividing line in the figure, and then draw the square and mark the corresponding data)


As shown in the figure:



A cylindrical column, with a rope around its bottom, a circumference of 3.14 meters, 4 meters high, the volume of this column is______ .


3.14 △ 3.14 △ 2 = 0.5 (m), 3.14 × 0.52 × 4, = 3.14 × 0.25 × 4, = 3.14 (M3), answer: the volume of this column is 3.14 m3; so the answer is: 3.14 m3



How to fill in the operation symbol of four quarters to be equal to one eighth? Five quarters?
1、 Fill in the operation symbol or bracket in 0 to make the equation true. (= = is equal sign)
Quarter 0 quarter 0 quarter 0 quarter 0 quarter = = one eighth
Quarter quarter quarter quarter quarter quarter quarter quarter quarter = = one eighth


1/4 * 1/4 ÷ (1/4 + 1/4)= 1/8
1/4 ÷ 1/4 * 1/4 * (1/4 + 1/4)= 1/8



Ask the relation between the continuity of partial derivative of multivariate function and differentiability of function!
And the relationship between differentiability, continuity and differentiability!
Can we give more sufficient proof? You can add scores


There is no necessary relation between the existence of partial derivative and continuity
2. Differentiability can deduce the existence of continuous and partial derivatives respectively, and vice versa
3. The independent relationship between the relation of partial derivative and differentiability~



A cube is equal to its opposite number


x³=-x
x³+x=0
x(x²+1)=0
x=0
The number a cube equals to its opposite number is zero



Question: 0,01 10.02 10.03 o. 97 10 o, 98 + 0.99=


The first number plus the last number multiplied by half of the total, which is the rule
(0.01+0.99)*49.5=49.5
First number 0.01 last number 0.99
0.01 to 0.99 is a total of 99 numbers, half of which is 99 divided by 2, which is 49.5



Given that the image of a function y = 3x + 2B and the image of a function y = - 4x-0.5a intersect at the same point on the Y axis, the value of 3A: 2b is equal to________


-6



A cuboid pool covers an area of 15 square meters, with a depth of 1.5 meters. How many liters of water can the pool collect at most


22.5